Methods for solving linear equations
[Maple 15]
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
Use "solve" to compute x
Numerical coefficients
solve({x_1 + 2*x_2 = 1, x_1 + 3*x_2=-2},{x_1, x_2});
Symbolic coefficients
eqns:={x_1 + 2*x_2 = y_1, x_1 + 3*x_2 = y_2};
solve(eqns, {x_1,x_2});
Compute x, y, z in terms of a, b, c, and pQyQtSSZzb2x2ZUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkPCUvLCZJInhHRigiIiJJInpHRigiIilJImNHRigvLChGLSIiI0kieUdGKCIiJkYvIiIkSSJiR0YoLywoKiZJInBHRihGLkYtRi5GLkY1RjRGL0Y3SSJhR0YoPCVGLUY1Ri9GLg==
Determinant and eigenvalues, & eignvectors
B:=<<-1,1,1,1; 1,-1,0,1; 1,0,-1,1; 1,1,1,-1>>;
Determinant(B);
Eigenvalues(B);
Eigenvectors(B);